Difference Galois theory of linear differential equations

DOI10.1016/j.aim.2014.04.005zbMath1328.12013arXiv1302.7198OpenAlexW2963475309MaRDI QIDQ2452068

Charlotte Hardouin, Lucia Di Vizio, Michael Wibmer

Publication date: 28 May 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.7198

zbMATH Keywords

parameterized Picard-Vessiot theorydifference algebraic groupsGalois theory of differential equations

Mathematics Subject Classification ID

Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Difference algebra (12H10)

Related Items (15)

Difference modules and difference cohomology ⋮ Torsors for difference algebraic groups ⋮ Strongly étale difference algebras and Babbitt's decomposition ⋮ The differential Galois group of the rational function field ⋮ Galois groups of linear difference-differential equations ⋮ Twisted Galois stratification ⋮ DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS ⋮ On the dimension of systems of algebraic difference equations ⋮ Difference Galois groups under specialization ⋮ Almost-simple affine difference algebraic groups ⋮ Algebraic groups as difference Galois groups of linear differential equations ⋮ A Chevalley theorem for difference equations ⋮ Functional relations for solutions of \(q\)-difference equations ⋮ Generalized differentials and prolongation spaces ⋮ A categorical approach to Picard-Vessiot theory

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